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Finding the Fourth Proportional to 1,892.70, 2,608.52 and 1,451.66

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Solution

The fourth proportional to 1,892.70, 2,608.52 and 1,451.66 is: 2,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.70 : 2,608.52 = 1,451.66 : x
  2. Step 2: Convert to fraction form
    1,892.70/2,608.52 = 1,451.66/x
  3. Step 3: Cross multiply
    1,892.70x = 2,608.52 × 1,451.66
  4. Step 4: Simplify right side
    1,892.70x = 3,786,663.84
  5. Step 5: Solve for x
    x = 3,786,663.84/1,892.70
  6. Step 6: Final answer
    x = 2,000.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.